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Finding the Third Proportional to 233,961.75 and 478,987.50

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Solution

The third proportional to 233,961.75 and 478,987.50 is: 980,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,961.75 : 478,987.50 = 478,987.50 : x
  2. Step 2: Convert to fraction form
    233,961.75/478,987.50 = 478,987.50/x
  3. Step 3: Cross multiply
    233,961.75x = 478,987.50 × 478,987.50
  4. Step 4: Simplify right side
    233,961.75x = 229,429,025,156.25
  5. Step 5: Solve for x
    x = 229,429,025,156.25/233,961.75
  6. Step 6: Final answer
    x = 980,626.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.